a race car is traveling in a uniform circular motion around a race track what happends to the radial aceleration of the car if the velocity is dobled and the radio od the circel is half

A race car is traveling in a uniform circular motion around a race track, the radial acceleration of the car when the velocity is doubled and the radius of the circle is halved will increase by a factor of 8 (Option D)What is radial acceleration?To arrive at the above conclusion, we must recall that radial acceleration is defined by:Ac = v²/r; where Ac - is the magnitude of radial accelerationv -  is the linear or tangential speedr - is the radius of the circular pathA′c -  is the new magnitude of the radial acceleration.Given that the linear velocity is duplicated and simultaneously the radius is split in two, then the new radial acceleration increases by a factor of 8, according to the following calculation:A'c = (2v²)/(0.5r)= 4v²/(0.5r)= 8 · (v²/r)= 8 · AcLearn more about radial acceleration:https://brainly.com/question/3388038#SPJ1Full Question:A race car is traveling in a uniform circular motion around a race track what happens to the radial acceleration of the car if the velocity is doubled and the radius of the circle is halfed?A. It remains the same.B. It increases by a factor of 2.C. It increases by a factor of 4.D. It increases by a factor of 8.E. It decreases by a factor of 2.